8368429386240 has 4800 divisors, whose sum is σ = 40965558036480. Its totient is φ = 1594117324800.

The previous prime is 8368429386181. The next prime is 8368429386241. The reversal of 8368429386240 is 426839248638.

8368429386240 is a `hidden beast` number, since 8 + 3 + 6 + 8 + 4 + 2 + 9 + 386 + 240 = 666.

It is a super-2 number, since 2×8368429386240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (8368429386241) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 157894894054 + ... + 157894894106.

Almost surely, 2^{8368429386240} is an apocalyptic number.

8368429386240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8368429386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20482779018240).

8368429386240 is an abundant number, since it is smaller than the sum of its proper divisors (32597128650240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8368429386240 is a wasteful number, since it uses less digits than its factorization.

8368429386240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 8368429386240 in words is "eight trillion, three hundred sixty-eight billion, four hundred twenty-nine million, three hundred eighty-six thousand, two hundred forty".